Homotopy locally presentable enriched categories
Authors | |
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Year of publication | 2016 |
Type | Article in Periodical |
Magazine / Source | Theory and Applications of Categories |
MU Faculty or unit | |
Citation | |
Web | https://arxiv.org/pdf/1311.3712.pdf |
Field | General mathematics |
Keywords | monoidal model category; enriched model category; weighted homotopy colimit |
Description | We develop a homotopy theory of categories enriched in a monoidal model category V. In particular, we deal with homotopy weighted limits and colimits, and homotopy local presentability. The main result, which was known for simplicially-enriched categories, links homotopy locally presentable V-categories with combinatorial model V-categories, in the case where all objects of V are cofibrant. |
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